Computer Science – Data Structures and Algorithms
Scientific paper
2009-11-23
Computer Science
Data Structures and Algorithms
v2: several minor changes.
Scientific paper
We consider the following NP-hard problem: in a weighted graph, find a minimum cost set of vertices whose removal leaves a graph in which no two cycles share an edge. We obtain a constant-factor approximation algorithm, based on the primal-dual method. Moreover, we show that the integrality gap of the natural LP relaxation of the problem is \Theta(\log n), where n denotes the number of vertices in the graph.
Fiorini Samuel
Joret Gwenaël
Pietropaoli Ugo
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